Delay-dependent stability analysis for Two- Dimensional discrete systems with shift delays by the General Models

Author

Ye, Shuxia ; Zou, Yun ; Wang, Weiqun ; Yao, Juan

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing

fYear

2008

fDate

17-20 Dec. 2008

Firstpage

973

Lastpage

978

Abstract

This paper is concerned with stability analysis for two-dimensional (2-D) discrete systems with shift delays in the general models (GM). Delay-dependent sufficient conditions for stability are derived and expressed in terms of linear matrix inequalities (LMIs). The stability theorem concludes stability theorems for 2D discrete systems by the general models and the Fornasini-Marchesini local state space models as special cases. A numerical example is given to demonstrate the effectiveness and the benefits of the present results.

Keywords

delays; discrete systems; linear matrix inequalities; multidimensional systems; stability; state-space methods; Fornasini-Marchesini local state space model; delay-dependent stability analysis; general model; linear matrix inequality; shift delay; stability theorem; two-dimensional discrete system; Automatic control; Delay effects; Delay systems; Equations; Mathematical model; Robotics and automation; Space technology; Stability analysis; Two dimensional displays; Water heating; 2-D discrete systems; delay-dependent; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision, 2008. ICARCV 2008. 10th International Conference on

Conference_Location

Hanoi

Print_ISBN

978-1-4244-2286-9

Electronic_ISBN

978-1-4244-2287-6

Type

conf

DOI

10.1109/ICARCV.2008.4795650

Filename

4795650